Consider the figure as shown below. If work done in bringing a point charge from infinity to points A, B and C are \( W_A, W_B \) and \( W_C \) respectively, then, which of the following relation is correct?

A heater coil is rated 100 W, 200 V. It is cut into two identical parts. Both parts are connected together in parallel to the same source of 200 V. The energy liberated per second in the new combination is:

A vertical electric field of magnitude \( 4.9 \times 10^5 \text{ NC}^{-1} \) just prevents a water droplet of mass \( 0.1 \text{ g} \) from falling. What is the charge on the droplet? Take acceleration due to gravity \( 9.8 \text{ ms}^{-2} \).

A charge of \( 9 \mu C \) is given a displacement of \( \vec{r} = (4\hat{i} + 5\hat{j}) \text{ m} \) in an electric field \( \vec{E} = (5\hat{i} + 4\hat{j}) \text{ N/C} \). The work done in the process is

Which of the following statements are correct?
A. In a photon-particle collision number of photons are conserved.
B. The photoelectric current is directly proportional to the intensity of incident light.
C. The photoelectric emission is an instantaneous process.
D. Maximum kinetic energy of photoelectrons depend on the intensity of incident radiation.
E. The threshold frequency is different for different metals.
Choose the correct answer from the options given below:

The energy of a photon of wavelength 1 \( \text{\AA} \) is
(Given: \( h = 6.63 \times 10^{-34} \text{ J s} \))

Choose the correct statements from the following:
A. Displacement current is due to time varying magnetic field.
B. The frequency of the electromagnetic wave naturally equals the frequency of oscillation of the charge.
C. Light carries energy from the Sun to the Earth.
D. Electromagnetic wave does not exert pressure.
E. Electromagnetic wave contains both electric and magnetic field.
Choose the correct answer from the options given below:

The gene controlling the ABO blood groups in humans is :

Aniline reacts with bromine water at room temperature and forms a compound \(X\). Identify X.

p-block elements are placed in groups 13 to 18 of the periodic table. Group 15 is nitrogen family. Nitrogen makes various compounds like \(NH _3, HNO _3, N_2 O , NO _2\) etc. Phosphorus exists in the form of white and red phosphorus. White phosphorus glows in dark. \(PH _3\) gas is used as smoke screen. Group 16 is called oxygen family. Dry air contains \(21\% O_2\) gas by volume. Combined sulphur exists as sulphates such as gypsum, epsome salt, baryte etc. The allotropic forms of sulphur are Rhombic and monoclinic sulphur. \(S_2\) is paramagnetic like \(O_2\) and it stable at high temperature. Group 17 is Halogen family. \(F_2\) is highly reactive, \(C l_2\) is greenish yellow gas. Both \(S O_2\) and \(C l_2\) are used for bleaching. Group 18 is Noble gas family but some noble gases also form compounds.
Complete hydrolysis of \(XeF _6\) gives HF and \(XeO _3\) as main products.
The product of complete hydrolysis of \(XeF _6\) in the following reaction is
\(XeF _6+ H _2 O \rightarrow ?+ HF\)

The separation between the plates of a charged parallel plate capacitor is increased. Which of the following quantities will change?
(A) charge on the capacitor plates
(B) potential difference across the capacitor
(C) energy of the capacitor
(D) energy density between the plates of the capacitor
Choose the correct answer from the options given below:

Identify the major product in the following reaction :
\(CH_3-CH\left(CH_3\right)-CH_2 Br \xrightarrow{\text { aq. } OH^{-}} \text {? }\)

A charging capacitor has